关于正定矩阵的一类不等式

本文考虑了常见的Hlder不等式和算术——几何平均不等式在矩阵中的类似,对R.Bellman提出的两个问题[1]给出了肯定的回答。同时建立了Cauchy-schwarz不等式及其增补在矩阵中的类似。     

Rebellion,Repression and Welfare

I develop a dynamic model of social conflict whereby manifest grievances of the poor generate the incentive of taking over political power violently. Rebellion can be an equilibrium outcome depending on the level of preexisting inequality between the poor and the ruling elite, the relative military capabilities of the two groups and the destructiveness of conflict. Once a technology of repression is introduced, widespread fear reduces the parameter space for which rebellion is an equilibrium outcome. However, I show that repression-driven peace comes at a cost as it produces a welfare loss to society.     

大气层内滚转角速度稳定动能拦截器姿态控制系统设计

针对大气层内滚转角速度稳定动能拦截器具有反应快速、耦合性强等特点,本文首先分析了传统的小扰动法设计姿控系统的优缺点,然后提出了基于极点区域配置的变增益控制系统设计方法。该方法通过在整个参数空间寻求单一李亚普诺夫函数来保证系统的全局稳定,与小扰法相比,它不仅可保证理论上的稳定,而且离散计算量小。最后的仿真表明,基于该方法设计的控制器具有良好的控制性能。